{"id":"W2737088995","doi":"10.5539/jmr.v9n4p231","title":"Logarithmic Differential Operators and Prequantization of Logsymplectic Poisson Structure","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Logarithm; Poisson distribution; Differential operator; Differential (mechanical device); Mathematical analysis; Pure mathematics; Statistics; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005637973,0.0005554111,0.000578777,0.001909186,0.001677905,0.002032151,0.001048516,0.0007501606,0.007703574],"category_scores_gemma":[0.002040526,0.0002398149,0.0005617823,0.000614421,0.00313443,0.005055269,0.001820446,0.002021105,0.000427552],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001098848,"about_ca_system_score_gemma":0.0006637065,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005425711,"about_ca_topic_score_gemma":0.0004228266,"domain_scores_codex":[0.9996518,0.00005399998,0.00001578047,0.00008708845,0.0001058774,0.00008557799],"domain_scores_gemma":[0.9991568,0.0001389925,0.0001723752,0.00007887384,0.0001734808,0.0002794939],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002261553,0.00002614491,0.0004396155,0.00002357785,0.000003346056,0.0002122164,0.0001706461,0.000356641,0.001974705,0.9949934,0.0001953713,0.001581924],"study_design_scores_gemma":[0.00002172296,0.00006047423,0.0009866665,0.00002079488,0.000006262306,0.0006581889,0.0003165455,0.01066871,0.002088165,0.9834529,0.001698497,0.00002114154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8449169,0.0007733206,0.08859909,0.001604648,0.0002905384,0.00004596515,0.0001123747,0.0001499333,0.06350721],"genre_scores_gemma":[0.9828516,0.0003250602,0.004694598,0.0001314121,0.0002471329,0.00002157445,0.00007146824,0.00004430996,0.01161296],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007703574,"threshold_uncertainty_score":0.02577102,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.168914712958515,"score_gpt":0.4714137742275326,"score_spread":0.3024990612690177,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}